Time domain modeling of damping using anelastic displacement fields and fractional calculus
暂无分享,去创建一个
[1] M. L. Drake,et al. Aerospace Structures Technology Damping Design Guide. Volume 2. Design Guide , 1985 .
[2] R. Cook,et al. Concepts and Applications of Finite Element Analysis , 1974 .
[3] F. Oberhettinger,et al. Tables of Laplace Transforms , 1973 .
[4] K. Dovstam,et al. Augmented Hooke's law in frequency domain. A three dimensional, material damping formulation , 1995 .
[5] A. Erdélyi,et al. Higher Transcendental Functions , 1954 .
[6] G. Shilov,et al. Generalized Functions, Volume 1: Properties and Operations , 1967 .
[7] D. Golla. Dynamics of viscoelastic structures: a time-domain finite element formulation , 1985 .
[8] G. Lesieutre,et al. Time Domain Modeling of Linear Viscoelasticity Using Anelastic Displacement Fields , 1995 .
[9] P. Hughes,et al. Modeling of linear viscoelastic space structures , 1993 .
[10] Mikael Enelund,et al. Time-Domain Finite Element Analysis of Viscoelastic Structures with Fractional Derivatives Constitutive Relations , 1997 .
[11] S. H. Crandall. The role of damping in vibration theory , 1970 .
[12] Joseph Padovan,et al. Computational algorithms for FE formulations involving fractional operators , 1987 .
[13] G. Shilov,et al. DEFINITION AND SIMPLEST PROPERTIES OF GENERALIZED FUNCTIONS , 1964 .
[14] A. I. T︠S︡eĭtlin,et al. Role of internal friction in dynamic analysis of structures , 1990 .
[15] Peter J. Torvik,et al. Fractional calculus-a di erent approach to the analysis of viscoelastically damped structures , 1983 .
[16] Iu.N. Rabotnov. Elements of hereditary solid mechanics , 1980 .
[17] R. Bagley,et al. A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity , 1983 .
[18] George A. Lesieutre,et al. Finite element modeling of frequency-dependent material damping using augmenting thermodynamic fields , 1990 .
[19] Mikael Enelund,et al. Damping described by fading memory models , 1995 .
[20] A. L. Kimball,et al. Internal Friction in Solids , 1926, Transactions of the American Society of Mechanical Engineers.
[21] M. Shitikova,et al. Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids , 1997 .
[22] R. Koeller. Applications of Fractional Calculus to the Theory of Viscoelasticity , 1984 .
[23] B. S. Berry,et al. Anelastic Relaxation in Crystalline Solids , 1972 .